Главная

Erlend Fornaess Wold

  1. Solving $\bar\partial_b$ on hyperbolic laminations.

    Пт, 08/12/2011 - 15:01 — SomNambul
    Authors: John Erik Fornaess, Erlend Fornaess Wold
    Subjects: Complex Variables
    Abstract

    Let $X$ denote a compact set which is laminated by Riemann surfaces. We
    assume that $X$ carries a positive CR line bundle $ L\rightarrow X$. The main
    result of the paper is that there exists a positive integer $s$ so that if $v$
    is any continuous $(0,1)$ form with coefficients in $L^{\otimes s}$ there
    exists a continuous section $u$ of $L^{\otimes s}$ solving the equation
    $\bar\partial_b u=v$.

  2. Examples of Minimal Laminations and Associated Currents.

    Втр, 02/16/2010 - 16:01 — SomNambul
    Authors: John Erik Fornaess, Erlend Fornaess Wold, Nessim Sibony
    Subjects: Dynamical Systems
    Abstract

    In this paper, we construct various examples of holomorphic laminations, with
    leaves of dimension 1, and we also study some of their dynamical properties. In
    particular we study existence and uniqueness of positive closed currents. We
    construct minimal laminations with infinitely many mutually singular closed
    currents and no non-closed harmonic current. We also consider embeddings to
    projective space.

  3. Fibrations and Stein Neighborhoods.

    Пнд, 11/30/2009 - 16:01 — SomNambul
    Authors: Franc Forstneric, Erlend Fornaess Wold
    Subjects: Complex Variables
    Abstract

    Let Z be a complex space and let S be a compact set in C^n x Z which is
    fibered over R^n (the real subspace of C^n). We give a necessary and sufficient
    condition for S to be a Stein compactum.

Math-arch

RSS-материал